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Simplifying 2w + 500 = 200 + 550 + 250 Reorder the terms: 500 + 2w = 200 + 550 + 250 Combine like terms: 200 + 550 = 750 500 + 2w = 750 + 250 Combine like terms: 750 + 250 = 1000 500 + 2w = 1000 Solving 500 + 2w = 1000 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 2w = 1000 + -500 Combine like terms: 500 + -500 = 0 0 + 2w = 1000 + -500 2w = 1000 + -500 Combine like terms: 1000 + -500 = 500 2w = 500 Divide each side by '2'. w = 250 Simplifying w = 250
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